Atkin-Lehner |
2- 3+ 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91494p |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
5444083799204364288 = 216 · 39 · 133 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-694280,192468043] |
[a1,a2,a3,a4,a6] |
Generators |
[209:7409:1] |
Generators of the group modulo torsion |
j |
1880337457684546875/276588111527936 |
j-invariant |
L |
8.8898127516421 |
L(r)(E,1)/r! |
Ω |
0.23134266879708 |
Real period |
R |
0.80056322278255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494d1 |
Quadratic twists by: -3 |